scholarly journals The Evaluation of Mixed-Mode Stress Intensity Factors of an Interface Crack by Component Separation Method of J integral

2000 ◽  
Vol 2000 (0) ◽  
pp. 227-228 ◽  
Author(s):  
Toshihisa NISHIOKA ◽  
Shinichiro SYANO ◽  
Takehiro FUJIMOTO
Keyword(s):  
Stress Intensity ◽  
Interface Crack ◽  
Stress Intensity Factors ◽  
Mixed Mode ◽  
Component Separation ◽  
Separation Method ◽  
J Integral ◽  
Intensity Factors ◽  
Mode Stress ◽  
Component Separation Method

Concepts of Separated J-Integrals, Separated Energy Release Rates, and the Component Separation Method of the J-Integral for Interfacial Fracture Mechanics

2003 ◽  
Vol 70 (4) ◽  
pp. 505-516 ◽  
Author(s):  
T. Nishioka ◽  
S. Syano ◽  
T. Fujimoto
Keyword(s):  
Stress Intensity ◽  
Energy Release ◽  
Interfacial Crack ◽  
Component Separation ◽  
Separation Method ◽  
J Integral ◽  
Intensity Factors ◽  
Release Rates ◽  
Energy Release Rates ◽  
Component Separation Method

First, this paper presents the concepts of separated J-integrals and separated energy release rates. The path-independent separated J-integrals have the physical significance of energy flows into an interfacial crack tip from adjacent individual material sides or, equivalently, separated energy release rates. Thus, the J-integral and the energy release rate can be evaluated by the sum of the path-independent separated J-integrals. Second, the relations between the separated J-integrals and the stress intensity factors are derived. Third, the component separation method of the J-integral is extended for interfacial crack problems to allow accurate evaluation of the stress intensity factors. Finally, pertinent numerical analyses are carried out to demonstrate the usefulness of the separated J-integrals and the component separation method.

Mixed Mode Interface Cracks in a Bi-Material Half Plane and a Bi-Material Strip

1999 ◽  
Author(s):  
Haiying Huang ◽  
George A. Kadomateas ◽  
Valeria La Saponara
Keyword(s):  
Stress Intensity ◽  
Free Boundary ◽  
Half Plane ◽  
Stress Intensity Factors ◽  
Mixed Mode ◽  
Infinite Strip ◽  
Infinite Plane ◽  
Intensity Factors ◽  
Interface Cracks ◽  
Mode Stress

Abstract This paper presents a method for determining the dislocation solution in a bi-material half plane and a bi-material infinite strip, which is subsequently used to obtain the mixed-mode stress intensity factors for a corresponding bi-material interface crack. First, the dislocation solution in a bi-material infinite plane is summarized. An array of surface dislocations is then distributed along the free boundary of the half plane and the infinite strip. The dislocation densities of the aforementioned surface dislocations are determined by satisfying the traction-free boundary conditions. After the dislocation solution in the finite domain is achieved, the mixed-mode stress intensity factors for interface cracks are calculated based on the continuous dislocation technique. Results are compared with analytical solution for homogeneous anisotropic media.

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